摘要
本文证明了文[1]的一个猜想是正确的,从而进一步推广了 E.T.Ogarkov 定理[2]。本文仅讨论有限群,所用符号是标准的。
In 1987,Li Shirong and Zhao Yaoq(?)ng generalized some results of OgarkovE.T.[2],and obtained several theorems.One of them is the following.Theorem C~[1] Let G be a finite nonsolvable group,H a proper subgroupof G such that|G:H|is even.If every solvable subgroup K of G,K(?)H,iseither 2-closed or a Schmidt group,then G is isomorphic to PSL(2.5) orSL(2.5).At the end of the paper[1],the authors conjectured that the restriction“|G:H| is even”in theorem C could be dropped.The aim of this paper is toprove the conjccture.
出处
《数学杂志》
CSCD
北大核心
1992年第4期444-446,共3页
Journal of Mathematics
